{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "bf01d7ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from sympy import symbols, cos, sin\n",
    "from sympy.plotting import plot_parametric\n",
    "from math import sin,cos\n",
    "import io\n",
    "import cv2\n",
    "import pykalman\n",
    "from scipy import optimize"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "454c03a1",
   "metadata": {},
   "source": [
    "# Лабораторная работа 1.6\n",
    "В файле «Transmitter.txt» записана матрица, каждая строка которой представляет собой сигнал, подаваемый на соответствующий громкоговоритель. В файле «Receiver.txt» записан сигнал 𝑟, поступаемый с микрофона.Рассмотрена взаимную корреляционную функция между 𝑟(𝑡) и 𝑠(𝑡). Далее по имеющимся данным оценить параметр T,решение находится методом наименьших квадратов."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "baf1c9b2",
   "metadata": {},
   "outputs": [],
   "source": [
    "#координаты loudspeaker-ов\n",
    "coord = [[0,0,10],[20,0,10],[20,20,10],[0,20,10]]\n",
    "#частота дискретизации\n",
    "samp_rate = 100000\n",
    "#скорость звука\n",
    "c_speed = 1125"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "77695634",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3500\n"
     ]
    }
   ],
   "source": [
    "f = open('/data files/Receiver.txt')\n",
    "r = []\n",
    "for line in f:\n",
    "    q = line.split()\n",
    "    q = [float(a) for a in q]\n",
    "    r.append(q)\n",
    "   # print(q)\n",
    "r = r[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e19e6aee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "500\n"
     ]
    }
   ],
   "source": [
    "f = open('/data files/Transmitter.txt')\n",
    "s = []\n",
    "for line in f:\n",
    "    q = line.split()\n",
    "    q = [float(a) for a in q]\n",
    "    s.append(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "66eea857",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 792x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 792x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 792x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAApYAAAIICAYAAADUnq45AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAABgCElEQVR4nO3dd5gU9eHH8c/3Cr13pB0IgogoRUCxYVdiUKPG3jVFTTExwZJoTFQSk2h+0dhiN/ZoNPaGElSkg6D0Ir13OODu5vfHzuzNzs5suZ293eXer+fhYXd2dmZ2dm/ns99qLMsSAAAAkKmiXB8AAAAA9g0ESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQChKcn0AqWjTpo1VVlaW68MAAACo86ZMmbLesqy2fo8VRLAsKyvT5MmTc30YAAAAdZ4xZmnQY1SFAwAAIBQESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQCgIlgAAAAgFwRIAAAChIFgCAAAgFARLAAAAhIJgCQAAgFAQLAEAABAKgiUAAABCQbAEAABAKAiWAAAACAXBEgAAAKEgWAIAACAUBEsAAACEgmAJAACAUBAsAaAAVFRWqe9v39XLk5fl+lAAIBDBEgAKwI7dldq5p1K/f/PrXB8KAAQiWAIAACAUBEsAAACEgmAJAACAUBAsAQAAEAqCJQAAAEJBsAQAAEAoCJYAAAAIBcESAAAAoSBYAgAAIBQESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQCgIlgAAAAgFwRIACoiV6wMAgAQIlgAAAAgFwRIACojJ9QEAQAIESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQCgIlgBQQBjHEkA+I1gCQCFgnCEABYBgCQAAgFAQLAGgEFAHDqAAECwBoIBQIw4gnxEsAQAAEAqCJQAAAEJBsAQAAEAoCJYAAAAIBcESAAoIncMB5DOCJQAUArqDAygABEsAAACEgmAJAIWAOnAABYBgCQAFhBpxAPkstGBpjCk2xkwzxrxp3+9ujPnSGLPAGPOiMaaevby+fX+B/XhZWMcAAACA3AmzxPKnkr5x3f+jpHsty+opaZOkK+3lV0raZC+/114PAAAABS6UYGmM6SxppKR/2veNpOMkvWKv8pSkM+zbo+z7sh8/3l4fAAAABSysEsv7JP1KUpV9v7WkzZZlVdj3l0vqZN/uJGmZJNmPb7HXBwAkQR8eAPks42BpjPmOpLWWZU0J4Xjc273GGDPZGDN53bp1YW4aAAoP9ToACkAYJZbDJX3XGLNE0guKVIH/TVILY0yJvU5nSSvs2yskdZEk+/HmkjZ4N2pZ1iOWZQ22LGtw27ZtQzhMAAAAZFPGwdKyrJssy+psWVaZpPMkfWxZ1oWSxko6217tUkmv27ffsO/Lfvxjy7Ko3QEAAChw2RzH8teSbjDGLFCkDeVj9vLHJLW2l98gaXQWjwEA9g38/AZQAEqSr5I6y7I+kfSJfXuRpCE+65RLOifM/QJAXUFTSwD5jJl3AAAAEAqCJQAAAEJBsAQAAEAoCJYAUEDowwMgnxEsAaAQ0GsHQAEgWAIAACAUBEsAAACEgmAJAIWAxpUACgDBEgAKCE0tAeQzgiUAAABCQbAEAABAKAiWAFBAaGoJIJ8RLAGgENC4EkABIFgCAAAgFARLAAAAhIJgCQAAgFAQLAGgENBrB0ABIFgCQAGhDw+AfEawBAAAQCgIlgBQQKgRB5DPCJYAUAioAwdQAAiWAAAACAXBEgAAAKEgWAIAACAUBEsAAACEgmAJAIWA7uAACgDBEgAKCJ3DAeQzgiUAAABCQbAEgAJCjTiAfEawBAAAQCgIlgAAAAgFwRIAAAChIFgCAAAgFARLAAAAhIJgCQAFwKI/OIACQLAEgALCAOkA8hnBEgAKCOWWAPIZwRIAAAChIFgCAAAgFARLAAAAhIJgCQAAgFAQLAEAABAKgiUAAABCQbAEgAJgMc4QgAJAsASAAsIA6QDyGcESAAoIBZcA8hnBEgAAAKEgWAIAACAUBEsAAACEgmAJAACAUBAsAQAAEAqCJQAAAEJBsASAAsAwQwAKAcESAAAAoSBYAgAAIBQESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQCgIlgAAAAgFwRIACoBlMUQ6gPxHsAQAAEAoCJYAAAAIBcESAAAAoSBYAgAAIBQESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQpFxsDTGNDDGTDTGzDDGzDbG/M5e3t0Y86UxZoEx5kVjTD17eX37/gL78bJMjwEA9nUMjw6gEIRRYrlb0nGWZR0i6VBJpxhjhkn6o6R7LcvqKWmTpCvt9a+UtMlefq+9HgAAAApcxsHSithu3y21/1mSjpP0ir38KUln2LdH2fdlP368McZkehwAAADIrVDaWBpjio0x0yWtlfSBpIWSNluWVWGvslxSJ/t2J0nLJMl+fIuk1mEcBwAAAHInlGBpWValZVmHSuosaYikPplu0xhzjTFmsjFm8rp16zLdHAAAALIs1F7hlmVtljRW0uGSWhhjSuyHOktaYd9eIamLJNmPN5e0wWdbj1iWNdiyrMFt27YN8zABAACQBWH0Cm9rjGlh324o6URJ3ygSMM+2V7tU0uv27Tfs+7If/9iyLDo8AgAAFLiS5Ksk1VHSU8aYYkWC6kuWZb1pjPla0gvGmD9ImibpMXv9xyQ9Y4xZIGmjpPNCOAYAAADkWMbB0rKsmZIG+CxfpEh7S+/ycknnZLpfAKiTqN8BkMeYeQcACgANhgAUAoIlABQSRv0FkMcIlgAAAAgFwRIAAAChIFgCAAAgFARLAAAAhIJgCQAAgFAQLAEAABAKgiUAFBLGswSQxwiWAFAALBIlgAJAsASAQsIA6QDyGMESAAAAoSBYAgAAIBQESwAAAISCYAkAAIBQECwBAAAQCoIlABQSRh0CkMcIlgAAAAgFwRIACgEllQAKAMESAAoJA6QDyGMESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBIBCQu9wAHmMYAkAAIBQECwBAAAQCoIlAAAAQkGwBIACQNNKAIWAYAkAhYSZdwDkMYIlAAAAQkGwBAAAQCgIlgAAAAgFwRIACgm9eADkMYIlAAAAQkGwBAAAQCgIlgAAAAgFwRIACoBF20oABYBgCQCFhAHSAeQxgiUAAABCQbAEAABAKAiWAFBIaGsJII8RLAEAABAKgiUAAABCQbAEAABAKAiWAAAACAXBEgAKgEWvHQAFgGAJAIWEAdIB5DGCJQAAAEJBsAQAAEAoCJYAUEhoagkgjxEsAQAAEAqCJQAAAEJBsAQAAEAoCJYAAAAIBcESAAqARacdAAWAYAkAhYQB0gHkMYIlAAAAQkGwBIBCQpU4gDxGsAQAAEAoCJYAAAAIBcESAAAAoSBYAgAAIBQESwAAAISCYAkABYDO4AAKAcESAAoJA6QDyGMESwAoJBRdAshjBEsAAACEgmAJAACAUBAsAQAAEAqCJQAAAEKRcbA0xnQxxow1xnxtjJltjPmpvbyVMeYDY8x8+/+W9nJjjPk/Y8wCY8xMY8zATI8BAAAAuRdGiWWFpF9YltVX0jBJ1xpj+koaLekjy7J6SfrIvi9Jp0rqZf+7RtKDIRwDAAAAcizjYGlZ1irLsqbat7dJ+kZSJ0mjJD1lr/aUpDPs26MkPW1FTJDUwhjTMdPjAIB9mWUxzhCA/BdqG0tjTJmkAZK+lNTesqxV9kOrJbW3b3eStMz1tOX2Mu+2rjHGTDbGTF63bl2YhwkAhYsB0gHksdCCpTGmiaR/S/qZZVlb3Y9ZkZ/aaf3ctizrEcuyBluWNbht27ZhHSYAFDYKLgHksVCCpTGmVJFQ+S/Lsl61F69xqrjt/9fay1dI6uJ6emd7GQAAAApYGL3CjaTHJH1jWdZfXQ+9IelS+/alkl53Lb/E7h0+TNIWV5U5AAAAClRJCNsYLuliSV8ZY6bby26WNEbSS8aYKyUtlXSu/djbkk6TtEDSTkmXh3AMAAAAyLGMg6VlWeMV3Jz8eJ/1LUnXZrpfAAAA5Bdm3gEAAEAoCJYAAAAIBcESAAoA46MDKAQESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQCgIlgAAAAgFwRIAAAChIFgCAAAgFARLAAAAhIJgCQAAgFAQLAEAABAKgiUAAABCQbAEAABAKAiWAAAACAXBEgAAAKEgWAIAACAUBEsAAACEgmAJAAXAsnJ9BACQHMESAAAAoSBYAgAAIBQESwAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQCgIlgBQQBjOEkA+I1gCQAGwiJQACgDBEgAKiMn1AQBAAgRLAAAAhIJgCQAAgFAQLAEAABAKgiUAAABCQbAEAABAKAiWAAAACAXBEgAKCKNZAshnBEsAKAAWiRJAASBYAkABYYB0APmMYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQCgIlgAAAAgFwRIACgijDgHIZwRLAAAAhIJgCQAFgJJKAIWAYAkABYQB0gHkM4IlAAAAQkGwBAAAQCgIlgAAAAgFwRIAAAChIFgCAAAgFARLACggDDsEIJ8RLAEAABAKgiUAFADLoqwSQP4jWAJAAWGAdAD5jGAJAACAUBAsAQAAEAqCJQAAAEJBsAQAAEAoCJYAUEDoGw4gnxEsAQAAEAqCJQAAAEJBsASAAkAVOIBCQLAEgALCAOkA8hnBEgAAAKEgWAIAACAUBEsAAACEIpRgaYx53Biz1hgzy7WslTHmA2PMfPv/lvZyY4z5P2PMAmPMTGPMwDCOAQAAALkVVonlk5JO8SwbLekjy7J6SfrIvi9Jp0rqZf+7RtKDIR0DAOzz6B0OIJ+FEiwtyxonaaNn8ShJT9m3n5J0hmv501bEBEktjDEdwzgOAAAA5E4221i2tyxrlX17taT29u1Okpa51ltuL4thjLnGGDPZGDN53bp1WTxMAAAAhKFWOu9YlmUpzRocy7IesSxrsGVZg9u2bZulIwMAAEBYshks1zhV3Pb/a+3lKyR1ca3X2V4GAAhg0bgSQAHIZrB8Q9Kl9u1LJb3uWn6J3Tt8mKQtripzAEACzLwDIJ+FNdzQ85K+kNTbGLPcGHOlpDGSTjTGzJd0gn1fkt6WtEjSAkmPSvpxGMcAAHXBtt0VWr99d64PAwB8lYSxEcuyzg946HifdS1J14axXwCoiwb/4UMtGTMy14cBAHGYeQcAAAChIFgCAAAgFARLAAAAhIJgCQAAgFAQLAEAABAKgiUAFARGSAeQ/wiWAAAACAXBEgAAAKEgWALIe/PWbMv1IQAAUkCwBJDX3vlqlU66d5zemrkq14cCAEiCYAkgr821SyvnUmoJAHmPYAmgMFg16xVtWZaqqvKzR3XZ6Lc0+t8zc30YABAagiWAvGZkMnr+xY9NVI+b3w7paML3wqRluT4EAAgNwRJAQahpmeP4BetDPY66oM9v3tHj4xfn+jAAFCCCJQAUgBq2BKiR8r1VuuPNr2tvhwD2GQRLAHnNZFYTDgCoRQRLAAWhNkvsCtmERRvU+9Z3tHnnHm3ZuVcWJw5ALSJYAshrFFim54GxC7S7okpvzlylQ+54X49/tiSt5xNEAWSCYAnUIdvK92rt1vJcHwZqwbKNOyVJH32zJsdHAqAuIVgCtWzhuu16dsLSnOz7uL98qiF3fZSTfWfKqnG/8Jr774yVen36iho9d8P23dr/5rdVNvqt3IT5Ghb1UmAJIBMES6CWnf738br1P7Nysu9123ZnvI2p325S71vf0YbtmW8rFbnsvHP989P00xem1+i5f3p3rirtgdkXrd8R4lFlF7kSQCYIlkAt27mnMteHkJGHP12o3RVVmrh4Y64PJa/looQVAHKNYAmkYdy8daqorMr1YeSFmpYkPj/xW01ZGhtKr356sk7466cJn1fIVbS1eeyZ7ovOOwAyQbAEUjR+/npd8vhE3T92Qa4PpaDd9OpX+t6DX8Qs++DrNVqwdrvv+qaGCXbO6q3aVeClw25+ca+ismqfeo0ACh/BEkjRuu2RDhhLQmovR8lQ9mwr36tT7vuffv7i9FwfSlZd/fRkHfjbd30fq+kc69n4VJ76t//p5te+ysKWAeQbgiWQprAuvOTK9KRzusr3RporTFqSnXaglVVWrXVeSmTs3HVxy/Kxbec3q7bquS+/zfVhAKgFBEsgRTUtAQqSf5f/7LIsS+/PXl0r+yqy36psneM/vTdHg/7woTbu2JPS+rkIe84+02lJUL63Uo+NX5ylIwJQFxAsgTRR0lgz73+9Rtc8M6VW9uW0y8xWc4P3Z0cGHd+0M7VgWVvWbitXRaUdKOWcg9Sf/7eP5mvMO3OycWgA6oiSXB8AUChMyKVgkdBTeBMWVgeV9I59fYZVxzXJiNn+DZAv796areVq1qBUQ+6sHvy+Jn2etu7aG3N/0449atm4niTp4zlr1KC0WEfs3yajYwWwb6PEEkhTWKVgYYaee96bo9P+9j9NzlKbQjfnuGtr4PKa7CdaFV5HSpfv/WCedu2N7R0exms/5p6x0dtXPDlZFzz6ZdLnrNy8S58tWJ/5zgEUJIIlkKJo9WpI2wsz9DwwdqG+XrVVZz/0RfKVa8HGHXt0xgOfacXmXRltZ8HabZq/xn8YokSqq4GzkyzT3m4Kq1dVWfrRs1P05aINKW1y1ootsc8POKZMfgBsLa9I+zkn3zdOF/4zeQAFsG8iWAIpCruALh9779bErj2VKhv9lh53dfp4depyTV+2WY/9L7OOICf8dZxemxaZq7sm5yvbZ/ivH8xLecD8lycvU9not7Q5oF3m1vK9emfW6pTboT7x2ZLo7eWbdumtmatiHjc5KrXdVoMw6rZ++24N/sMH+mbV1pCOCEBtIlgC6crChfrrlVv1l/fnhrKt8r21O2C204HlkXGL4h5LVlo2b802bfL0rH531ipd9dTkcA4uS6HK2eybM1fp9ekrU3qOEwSXb/IvxbWnFQ88Z96A6F5v/IL1uu2N2TGPP/jJwpSOK2Yfaa6/tXyvXpu2PHp/i6eNZk18/M1ard++h97pQIGi8w6QourOOyG1sXRt5nsPfq5deyt17YiealBanNF2r/3XVD122WEZHl04kpWWnXTvOLVrWj9m2Q+fnVrj/S1ct12bduxRz3ZNIvtP8XlrtpZr9sotOq5P+4TrLVq3Xec/OiEmQFVURUos7/twnuqXFOtHx+7v+1ynqjooOEYfT/GYU5XNtrC/enmm3p29Wn06NNOBHZtp3pptoW07XzpGAUgPJZZAisIex9Ktsso/dLw0eZlmLNuc1rY+nrs2pKPyl6jkrCbWbkuxt3gKKfH4v3yqsx/6InqMqbaFPOsfn+uKJ5OXkj79xVKt2bo7OgC7230fztcf3/Ufqsd9FEGfo+gwQSme0KI8SF6rt0Zmo9ppTyvpPt3MLAXUTQRLIE3pXC+rqizNXe1fiuO3He+yX70yU6Me+Cx6f8ayzbr++WnRIFrT4wvjop9Krkk3dD71+ZKk63y7YafKRr+lN2Ykr4JO9VVm0skolR8cllX9vhQVOctij26v3VYz1cCY6g+dbOa76mO17H1V7yzBRxTAPoxgCaRg++4KzV65JfmKLhMXb1SPm9/WyfeNi+vBGyRZCPjhs1P03xkroyVFQXZXJG5nme2Lfk3DjLedoP86syRJbyYIls7u86nQzKnqLooO3h77eEX0TUktMNbWcE+JjyFyEM6huz9XiX78eF373FS9MDF4yseKyipVZfih3VNRpcPu/FBvf7Uq+coAaoxgCaTgB89M1j/szhCphpWrn66uWl3pUyLm11YzWfvNVLNEsqkGnZBTVWVpyfodKW7V4X+MfsceZvZxtu43P3bcuvbrC7Pn/fj567W7IrUe4H6qg6X/407v8lQDY9jr1YSz6WjTA7lLLFM/92/NXKXRr34V+HjPW97RVfbf0/AxH2voXR+mfaybd+7Rum279dvXk/94AVBzdN4BUjB16ebo7VTDSrLq5piH7St0qoUyybadrLSosspSabH04KcLdc97c/X+z4/WAe2bprZzm1NaVZOpA1MRRnV9sk38+b25qnSt9OWiDXry8yV64IKBKnIlwJnLN+uixzIbm9E7Y5H30PZWJg6e8XJfZFk9pFE0WUZV1LCEMejv6+M5kbbDNW22UFIcKUeprKr5jwMAyVFiCaTAXeqTat6JyY0+xUZ+m0lWypNqx46bXv3Kt5Q0um97NxMXR2bqWREwBE4q/A7JCQf/HL9Yu/bUbPijTHKl5fk/yP1jF8QMy3PlU5P1zqzV2rY7dizGhCXAKbwllisuFXnDmM3pXZ5q28lcVoXvqajScX/5RJOWbJLkf77TqQr3E/brK7Y3WNPACyA1BEsgBUWuq5z7svTvKcvT7rWdiBVSYcr/5q9PWLWYTjVlpl6YFGk7l26veu8RplOCaaWaLD2ccFecZpfr5Zt2Rm//6pUZvsfqbmM5fMzHcbMkFVLgWbO1XIvWVTehcF6u+3PltImsjd7hKbW/tN/STAMvgMQIlqizJi/ZGDfu3s2vfaUhd8a33woqPfnFyzNiem3HSHL98rvgJqtm326XpP0zhRltEl3Qk42pmHi7AcsD1t9ZwxLLxevTn8rRK902ls4wQt7Tkqik2Eiav7b6WF+avDz6Prm5z/mKzbs03fWDpKKyKqZd6OL1O7TDsw3va8mH4YYczrE988XS6LKKaLBMfTtvzlyp9dsTtw/2GjdvnXrc/La+Wp6kg5wVe1wAsoNgiTrr7Ie+0En3jotZ9tyX3/qOq+gusUy1A4dPE8qY2UT8Hk92zXMG5n52wtLEK0pal2B8yOgsL9Fj8d/x0g07VDb6LX3w9Zq4x4zn/3Xbdqts9Ftat213TJjYuaci4T6CnPDXcQkff//rNTElhc5+JOnlKcsi+6xhhvA+Ld0M5xdEnaZ9fiW3f/94QUzP6hF//kSXPzkp8T5CamP5o2en6LbXZ+mx8YtTKl385/8WacrSTTHLZizbogfGLtD7rs9JtINYGm/Cdc9N0z3vpTYD1RcLN2jJ+h3RtpeTlmxMuL7z+aPEEsguOu8AKXCXDo2b598r+Y/vztGDnyzUkjEjJfmXGP7+za+jty0r0lmkf+cW0WVhVlHPWb1Nq7eUq0PzBnGPOVWHTg9r927fnbVKP3x2qj698dhoqdrr01foxL7ttXLzrqTxcNG62JLGXXv8g3i6VaR+q5/1j8/Vtml9dW3VSH8+55DocmeO8pqeTe/7kG7Jrrc08eLHJkZvT/12k7xWbt4VV3XstH8NElYbxHdmrY7e3s/nszJ39Ta96pq28Q9vfRO3jt/A8E6A8+a4tdvK9cwXS/XzEw6I6SCVrvMfnSBJuuyIspTWd95SgiWQXQRLIAWpdJrxzs2c7PK1bONOff+RCTrj0P2qnxPyNW/99t3+wdKyosPbeDlzX89euTX6ui1JU5Zu0vce/DzpPoOu29mYuWjttt1au223Zq/cGhMso00sA07omq3lat6wNHC7mb4PiV7rz16cHr8/pT+2aDZqwst9SuMv/OeXWr89xdmRXJwAd87DsW1Jf/3KTI2du07De7bRsB6tA5+f7ufF/Sc6YdEGfbtxp84d3CXw2NJtRwsgNVSFAymoyTUoWTjZVh6pup3jmpkn7I4ORQGBuMqKjA1YvV/pxUnf6sVJ38aMt+h+dtA80H6dbGJ7xPsfW01e6uOupgRet7sGV69ur1htT0WV/vzeXG3fXaGhd32kHz07JXhHnmMLOo9SUI//9F5clWX5vvfnPvRF4GfiqS+SN4dIl9++ajo8z3XPTdWWXXvjOrc57Vgrs9i557xHJuhXr8yMWebey5/fT626HUD6KLEEUpJ+snSHC98heaKdOUz08bBr6YoCfjr6Xcx//e/YXuSRwFQ9PmGqZyDoNXjDVrovtaLK0h2upgReL0+prq6tLrGsfvyVKct1/9gF2rU30pko0UDr73+9Wif2bR+9n+y1Z1z2ZfnPXjNxyUZZVnaGFrr08Yla7Bkc3++9q+lHcsbyLXraZ4pO72uprapp92d+cpL2mABqjhJLwObtkODmV2K5J6ATT7JOBA6/y2mqbSxTvRQnKrFM5bnO86ssKy4QVA+OHbu80ts+MaUjTS6dAOJ3Gp1pLreV7036/BtfmalD7/ggpX35vb6aFMI5wdsb+nve8nbwyAMpCKpS/nTeOn27cafvY2Hxfma2lu+Ndn6LtnlM42T5/W0tXJfa6AHuvViWNH3ZZt37wbyU953IwnXbVTb6Lb3raq8K1FUES8C2dEPw1IZ+7bFufs1/nMhz7OpL9/XSsqS/eKrfnMfdWw66xHrH6Us1ZAVV4U9eGnuB9ttakQkOj5LrMc+zZ63YojHvzIlbzxtw0u68k0bZmf84kpH/nRlu0vFmgvml/baW7h7cbSydJhKOKksZjZU6fsF63+GPfI/DbwisDAoUvc0E+t/+fvQHXPW0oqlv7xzP2J9SZMxWKb0fMFWWpTMe+Ex/+2h+Gs8KNnP5ZknSO7OYhxwgWCLvlO+t1CWPT9Tc1f5t+jI1e+UW9b/9vej9lZt36d4P5iW8gPpdtD6ZuzZw/TdmrIwJFzOXb9bfP14Qs45fUAoa6Nk7tI7b1oQlcP6X2+uem5bgORFFxsQMRxRU8uU9b2FdrL3SqTH1DXv2ge4J6LSUyHNffpv2c9JhWVY0aGVjnEXvj5rg4/Bblt2q6nRKLBOZvzZSaugO4Y+MWxgNfe7dhH2K/X4kAnUVbSyRd6Yv26xx89apfE+lXvrh4aFv/7Hxi7XVVSp0/qMTtHTDTl1zdI/A5/h10EjUU3zJ+p0x6cbv4lldglYV7dAQdI1dvWWXfu7Tm3jB2m0Jx3tMtdORb3hwlVju2luV8lXTG46nL9vsW8KadqlehgHECW5BTRhqyr8qPN3S2OTPyeTlf75gQ0rr+TXFyOSsJ2ob6mw3qPlHuj8Axi+IlFy+OrW6re1db0dKzpeMGRnzQy7ssBwNlrmcZxPIE5RYIu/U9lfz0g2RksCgi83bX63SCp95t4sT9hROXnXr7M89a0vQRXbDjj3RTidu7mn1/CTqzRxzLD7LZizbHO3QM27eusD35aNvYgdP976GSUs26bHxi1I6jkSen7gs5XX9TqM7yOcby0qvSjhdcwN69Hvt8JslKY0MdlyfdjH3Ew0ZVGVZGvPOHA0MaMv62rQV+nTeOv1vfnAnK7dG9SLlJN6mBH5i21smfoFbdu3V2q3lccuf+Gyx7v94fsz2iJUAJZbIY+kO2ZKpoBB234f+DfyTlQYmKxTxe/jYP3+ia0fsrxtP7hOz3G8cwYXrtmtmsmnsbDt2V2j5pvhwnMh9H8ZWaQeVxvzm9dkx9/1e1+L1O3RwpxYxy5xAnw1+AT1a1VyDNpaJ+Pb4T3MbVZalZ5LMphRWR5N0pfNaurZqFHM/0e+aFycu07uzE3d2ufTxiQkfd/tm1VZJChx0fbzdFlOK/Xx4e91XVllasWmXuraOvJbD7/5IO/dURic+cPzuv5ERCq47rld1OCVZApRYIv+EWZ301sxV2rIztg1iYClKmuMtuo/zXU+j/UxewQNjF8Ytc6atczv+L5/q/rEL4pa7OYd+9dOTdfJ9wVXmK31KZL1SrfL1O19OaZLbCX/9NOk+w+QcV9hV4Te8NCOulCzdmtZP5q7TpwEzOjne95lWM9+t3hJf0udIFiprqn6J/2XtltdmRW/HtreMfbP+9uE8HX3PWJ378Beau3pbSnPdV5dYkiwBgiXyVqbNoJZt3Klrn5uq656fmtL6QRcFv9Kvheu2x4wR+cNnY/cRqQpP7PMF65OsUW3N1vRnPpEiwW/77gp9vjBxGzun9CURpxNE7PZTO47Hxi8O7EWfDb5V4XZd+O4sVIXPWpFayXGQVHtt50I67RG96z7pM45ltv0roKOVu52zu8nvx3PW6qvlW7S7olJ7Kqo0wZ5Kc+LijfrxvxIMou8WbWPp/3BVlaUl63fIsiw9Om6RNu/ck9p2gQTmr9kW2Kkzl6gKxz7LGbcwldI4Kb5q+9sNO/Xu7FW+AfH4v3yqstaNfB6JMMYkvSA/as9nHSRRr/NUWZL63fZe0vVS4Z3pxciE1qM3bP5V4ZH/g6ayzERc56T8PC01ks5LydfPgxQbet23r3mmOjx2bN5AZa0bp79t+ywFlVc+MHaB/vLBPN191sG68+1vNHnpRj188eC09wO4nXhvpBbK20wj1yixRE6l+svdr/G81/rtuzX12001PhZvacMlj3+pu96eo/Xb/EsLE3WMWbphR0ZDmuzcU6HLnphU8w3YsjpUjEl9QPd8kK1e4ZL0T89Uk7XdPjib0nmLa2kSnRpxj18a9JpWbSkPnK1q+rLNgcOBWUlKLCfaA7svscfK3bor9RLqvZVVWr2lvNZmKAIyRbDcx42fv143vDQ914ehnXsq9PXKrTHLxs5Zq0Pv+ECfL4xUCR9x90ca886cuC/niYs3ashdH+m/M1Ym3Meo+z/TWf/4POmxBH35r9ocG16dHrJB4wom+pp/afLyBI8mt2N38nZdqbjzrW9C2U6QbPZkzoTfe1Nu96qvjVK116atyPo+0vXV8i0xQ/FkQ1DwyjeJfhC5fzAudI26cMYDn+nBT+PbP0vS6FcjzTz8JgF4c+bKuP2l88PjV6/M1LC7P9LBt4dT8wBkG8FyH3fRY1/q1akrsj7IcTLXPzdNp/3f/7RzT/Uvdae39bRvN0uSVm4p10OuL+7ZdhB1ente//w0vTw5dsiZstFv6aqnIiV7fkMCpeNVTxgosevGgxrvp1Nal26j/nKfoYVqItF82BmzpLXbkpck54TPW/PwuMiQR7XRvSKVNqu17fT7x+uGl2ak/bx0QlChlKolOspEnQc/S9Iu2vvU16ev1HXPTdNnzjiiNTg9b82MdAxM1Ilo5vLNmp7B7EwIx/rtu5mHXgTLOiPb3/fXPD1ZZaPfCqxmnGxP47Z7b/XjM1xD5ZSNfit62/lu3rW30u4kU/1tfeMrM+O2/eE3mbdF9JNsDMhsZvVUeqLm2n9nrNQx93yS68PwlWhw7bo+iPXqLeXasiv5fOmOfaUq3C3Rj8LyBH97yTrBeT9aG3fENvVx9uq3+8079+idr1Zp6YYdMe2rU/kB+937P9MZGcwnX8iqqqycF5w4zvzHZzrbZ9rRdDz1+RLNS3Hc2XxF5506orLK8p3vOgwffL0mOhTK9t0ValVSL24dZ99VlqVF67bryqcmRx/7KsFYjJt37kk4EHlNpLq1kuIkwTKN4oelG9PruZdoaKB8MWFRarO55Ju6HSulYXd/lNb6u9Nok5ovF3gvb21GookFNuyo2QgMbu98tUqL1u9Q0wb+l1i/s/Tjf02NCa5LxozUzj0VWZnis5Dd9vosndi3g47s1UY791So72/f040n99a1I3rm+tC0bGPyWrOxc9bqwI7N1KF5A9/Hb3tjtoqMtOju/OqQkw5KLFPw7qzVWrw+8Qwn2TBpycaYqqXPF6xX2ei3tCaFjixemXay2LJzb+CYdN+6QpPv1H2WFf3lXmlZenbCtzHn03tu3Tly8fqdKvZ8Sp/5Yklax17TV54s0KbTvjBZ+9BCVKjXuzpeYJlV+dor/JGAtpF+SoJ67wSIHe7FaMn6HfrRv6bqnvfmxv2Yn5+gJGqZz7AxzsxXhWT77grtyOLwWU99sVQXPfZldF+S9HAa728YLMuqcXviy5+cpO/ePz5wu1Lhfrc6CJYp+OGzUzTiz5/4Pla+tzKm3eDqLeW6/+P5Gf9yn7Bog8556Av9Y+wCvTJlucpGv6V77TaJU5em3/M507ZPR/7p42hJR/neSp3z0OfRsfvcr9VvP2/OrB48vKLSUotGpTGPt2kaX8Lp+OXLM+KqpH/z+mwtS1ICuGDtdmU6qkyyEt58LZ2pLfkaIpJJdZrLTBXo6clIvraxTKfGIJWaHfff/rmuqs9/T12uY13XihLPtqJtnn1Ok1/Hn0RB1FnngzQHzq+orNI/PlmgXZ4q//lrtmlreepNJIL0u+09HXrH+xlvx89Nr8YGbaen/zZXkLUsS+/PXl2jz2L53sqEI5As37RTH369Rne/M0c9bn47cB/Jrg1rA0Yaqemfz9VPT06+Ui0iWGbo2Hs+Ud/fVvfW+8nz0/Tn9+fpm1U1ayOxY3eFjvzjx/rr+5EQOW/tdj33ZWT8wCXOnNY12G6mIcA9s8iMZZs1ackm/e6/kan83KWh3nmYZyzbHDMw9t7Kqrg/xmjDdtv3Hoxto5LKF727FHfhuu064a+fZlydnGy/KxPMKlIX1PVgnUxdPDv5+pH4JI1ObJuSDIG2YO12db/p7eh99/eAt4150I+YVJrRLFy3Pek6b8xYmXaoeHXqCv3p3bn6+8fVU7ZOXLxRJ947Tv1vfz+tiRuC7PVMm/rxnDW67fVZcevNW7NNY12zil3+xETd+HJwB7PnJ8YOfj/d7vjp/tz9d+YqXfPMFD3xmf84wZ8tWB8YHn/wzBQNuSu4qcio+z/TVU9P1iN2R8CKgGqrdALnXW9/o+ufn5Zwe8mk++Mi2wiWadqxuyImxKze6h2iJhLAvFXPc1dviytle2/2ao2duzZmLMenv1iq5Zt2Rcc9q7Li20b+7IXp2mRXLa/dWq6P5yT/ULmL7S0rvrHzmq3lOvvBz3Xlk5O0aktwO5H/TFsRnePZ6QTh/hty2mO9Pn2Fyka/pVEPfBYTSvdWWmn/8fgFvI/nrNVH31S/7v/7qPpLck2SwJdqgVW22qTuK/K1dCqZds382zaFrZDG+AxLoX4m3FYl+f5wRqlIhV9nQ8k/gHu/l+548xvNWZ24gGKdT8nX0g07Ek4P6pRK7nKNPLHIFWIv+OeX0aZLC9dt1+1vzM74fb3iyclxEyx8Om+dTrp3nC5/snq83rFz1+nlKdVDYiX68Tpl6SZd+1z8rGobtkfOyQuTlsU9JkkX/vNLfff+6o5O5Xsro9c857wFVa1v8HbGCjg8pyBn/ppt+v2bXyes4n5k3KJoUyn3pXHK0o266dWZSWvn8hGdd3yU761Ug9JifbFwgxrVK4557LxHJuirFVu0ZMxIjUvwx+t84Oat2aYrnpyk5ZsiH1xnhHzLsvQD14wP424cofMfnRDXyNyyrGiAi851XFmlv3+8QL89va/OefgLLd2wU4vvPi2mt2v53sqYQOf+QHe/6W0d3qO1nr9mmCTpX18ujZlHt/j12Vq/fbcqqiy9cd2R0WGBJOlnL06P3nb25ldiGTStWkVVle9c2In88Z05cctue2N2zP2tAa9VStxQP8h/Z6yMq8ZCrEINEbX1rtbBXFknwnSrxsFNd1I1e+VWvTtrtY7o2Vr1iot0rv097pbo+uLw+44a8edPVGXFz8by7ISl2rG7Qnfb36crNu3SjGWbdUiXFnHfmePmrdMZAzrpFy/N0PRlm1VkjBat364nLjtMliUVFRl9tXyLJizaoKuP7iEpMtTOLZ5pW7fs3KsXJsVfCxau265LH5+Y8LXd9vosPfXF0ujr+Of/FsU87p1GdcHaberZrmm0QGDB2u3Ra7nX6q3l0Wvrdc9N04ffrNHiu0+LPn73O3P05OdL9MyVQ3Xq38bp/Z8f4zsH/bRvN+vw/VvHLXcC4qWPT9TKLeXq0rKhLhvePel3prtm0am5e35iJCCPu3GEuiaY7S2fUGLp8dyX36rPb97VvDXbdP6jEzTKNYTDso079ZWrXeElCf4w5qyO/Kp96JOF0VDp+Gr5lpg2IZL07JdLfcdhfPur1dGpBtdvr/516nyBO19GeystTVqyUWPemaPPFqzXmf/4XIfd+WF0fe8H+gtXj153qHS2PfXbzZq5fIt++fIM3ffhfPlxcqy7bdDWXXt1+xuzoyWqXo8lmcbQTypVzu7OMX4Xt5fsX6+Dfv9BSoOXX//8tJjhkBDPHeYLSW1Fn0IN3pmoC8EyjB+cu/ZW6ofPTtGtr83S7JVbNbOG3zUl3p6N8i8Vq6is0q3/mRUNlZL0/tdrNOqBzzR75Za498357DYojWz/8c8W65O563TDSzPU4+ZIM4DT7x+vO9+unoDhgbEL9N7s2Nqz4/7yScw+nelUN++Mb8vpvWY4JZzOHO5/8Ez24C1cOOGvkaZP7pqmtVtjS3Tdwzg5ge1Du+brE0+QX7WlXCf89VPtrbT0q1dm6IgxH8cd8/mPTpAUKQXe5mqfeuBv39XareXaa5/H2+1xbRP9fbw/e3VMLZzX9OWbJUUKjTZs3x0XtKdlMOtc2Cix9OjaKvKLwF1K5zjqT2Ojt696KrZdyw0vTtddZx0cHdT7xldm6vRD9ou7iJ1y3zjNWb1Nh/eI/ZWT6KvKr0r2yc+XaJprQNyXpyyLBsSHfIrxqyxLyzbujHkNkdcRP22ge3iLV6YEh7D12/fYx1e97KLHvoxrX+P2coLthcWvd+U7s1bprIGd4qoyUPfUVtvQuhCyvLI1pmw++f4jE0Lb1uot5THNeFJRVWXpFy/P0JDurRKG3IrKqmjwLE8wZNTarbsDg2WjerERwZlRyj2DU9not/T1HSdrp2e2sNkrt8R93z74yUJdf3yvuP2VjX5LR/Vq43t8T3++VBcf3i3w+L3c5+Toe8YGrjd92SadcGC76P3LE0yhO2lJcGgbP3+9Lnrsy7jr9MWPTYzrOe5+3X98d46+079j9L57zno/FZVV2j9BhyG/ZhG5QomlxxF2sXavdk0TrvfRnNgv0FenrYjrOf7e7NVxU7s5bWa+8IwBmGiOa2/nFscMV7D0ljp6VVZZmrg4fkYAvwtBqg3dF6zdrgfGLlCxa3iORKGytvidiypLSdsroW6orcBXvjdP57tE3pi4ZGPC9pBx6y/eqHdmRa4rN736VcJ24BOXbIx2Uvl3gh/0f35/ruZ6vhsrqixVVllx1c0Ob+/s216frRc9s6KN/L/4IXX+8sE8rd5SHtcJR5L+N7+609Apro6Xd779TVql/6mO+rBjd2UoveCdoY+8x7h4/Y6Y75qy0W/pon9+Gb3/4CcLfc9RkBnLNic8D/V9qvxzhRJLD2eWl/9MT3+uX2+j75++MD3l5yb6RRSG92evjhbHh8lvrLZ89Om8dWl9gWPfFfRDLWwfJqjWAmri3IcTj5jh7tF9waNfqlvrRnrwwkFx1cZus1dujda0OSqrqvSTF6YFDovjHTQ/nZqoTTv36NWpia+v3kIAdwefRF6evCzpxBaOt75apaE9WqW0bk3sqaxSg6rYsrupdi/2mvB2fvKq59MsIldyFiyNMadI+pukYkn/tCxrTK6OxY+3IXWh8wuVYVUJ1sW2ZACQaw9/GtvOzjv00NINO3XTa+kPsv7GjJVZK+y4zqcndzJ+tW1+gnrhB/nt68GBOwx1sDWMpBxVhRtjiiU9IOlUSX0lnW+M6ZuLY6nL+t+enUFsAQDZN9czgPoOn3nO3U2mUpXNGrSFNRilo1B5O+lmU03HwMyGXJWdDpG0wLKsRZZl7ZH0gqRROTqWOqs2P/QAACA7KvKgf4MjV8GykyR3S9/l9rIoY8w1xpjJxpjJ69bRNg4AAMDPnkznMA5R/rT29LAs6xHLsgZbljW4bdu2uT4cAACAvESJpbRCUhfX/c72MtQRQ7pnrzceAAB1id/0lrmSq2A5SVIvY0x3Y0w9SedJeiNHx4IcGNytZa4PoUYuGNo114cAAHFKUxxmx238r0dkvN82TTKf4jJT3glH8s2RPf0Hf99X5SRYWpZVIek6Se9J+kbSS5ZlZbfffwjq2XOFnjmgU5I1pU9+eWxK25zz+1MyOaSMHNenXfKVEvjwhqPTfs4NJx4gqfam1QvbgR2b5foQACBOnw7V302pBq1UxyB++OJBuuyIMnXzmav66AOCm6qFMa96Kk7s2z5uWVktz6t9SOfmgY/5ja3Zpkl9NW0Q3oiPRab2ZhVLJmdtLC3LetuyrAMsy9rfsqw7c3Ucft792VG+y79zcGT6Je+4jQ1Ki/TQRQNjlpW1aazffCd4BKU7Rh2k3486SA1Ki3XXmQenfGz/umqoXvnh4Smvn8jfzx+Q8PFbRx6oEw6M/4N1tGyU+EujT4fY2YsOaN8k5ovstwnOj58m9XM/nn8BjAUPYB+1f9vGccuG92ytkQd31Derqgc5v/jwbloyZqSuOrJ7zLojeseGQPcsNc684H5OPqiDbv/uQTq4U3x4MgkmJE43OE28+fi4ZX4FIJ1bNoy536JRadw6zlX6omFd9d/rjgw+Rp/rygHtm8Tcv/30vjqkSwvf50+8+XiN//UI/ensQwL34T1Dp/broMm3nqAfHbt/7HppXl9a2q+7YWmxqqz4getzJW877+SS+5ef27H2B7zKsnTyQdWBy8jolH7Vc37+59rhkiIf6L+dd6jvtg7p3EIXH17m+9gXNx3n+4vzv9cdqeE922hwWSvdc3Z/3+f2bNfEd7lXmyb11bh+ScxcpV7tmzXQ/RcM0M2n9fF9vMQz0v+5gzvH3H/6iiHR28N7ttb7Pz9GI3pHzuHJB3XQeUO6KB2N6uV+yqpEX6IAkC0zbjtJt3/3oLjlt47sqwcuHBhTk+YUXNX3hMUnLh8S8+PYHSxrOnNLojCUbgFau2YN9Mkvj9XAri0SHtdZA2OvNaMO7RTYFOCUgzrqYE9p4mVHlEVvD+/ZRq/++IiYa6f3e/6y4d0DSwPbNWugzi0bpTVVbC97X96n+E1HuWTMSF1/XE9J0n3fPzSmOZYznXLj+pFrY/ne+HFMc4FgmYT7A+78QVZZltw9+3d53sxD7V829UuK1alF7C+rHxzTQ5LUtVV1Mb3lqRju2Lxh3C+mO8/sF/PHcc5g/1D2wjXDdPNpffT9gMerRfZ58kEdfB+97IgyjTy4oxqUFuuao/f3Xcf7h/ynsw/RkjEjo/fbNWsQvd2hWeQ89N2vmZaMGalDu7RQo3olaVUtl+bBlFWUWAJ1wxXDuydfKQTemp0gzRuWqn+nFtEmWQ7nB/ddZ1XXfDkhp35J/I/xRXePjD6nyEgl9pdaQ9cP90Sll14NXXNUn3HofjGPpTq9oltZm8Z64vIh0Wun3zZ+enyvmPenuMjocs/7dXr/yLG0bVpfkvTABQN1QPsmWnjXabr9uwdp+m9PVJ8OTfXzEw/QwK4t9eENx0Rr8XZXxAe0PXZpYFA7+wPaN9W5gzvrD2f0S/oaf3J8L0lSlaf200j68bH7xxXm/OyEA/T56ON0xoBOMZnieLuw6/RD9lOrxvUoscx3b15/pH7znb569cfDdWzvtjq2d1sV278mKquslNsyuINTq8b19KuT+2jJmJFqmaTtyS0j++rxywarpMjob+cdqguHdotbp7XPNto0qa9rjt5ffzizn/79o8N1+iH76ahe1Q2HX/3xEZKkS+zS0vol/h+BC4d2jc6bHqSkKPWPz+9Gxf/SlqTnrx4aLeFNpiaN08OWblUFgMJ0xP417xBypacKuk2T+vp9QOD44THxP9yfctX2nDWgk968PlKV27xRqeb94dRoFahUHQjdP7ydYHnWwE5q27S+iox048m94/ZTXGT0/DXD9P3BXfSvq4ZFlwf9iPe76t14Sm+dPaizDuzYTL84KXYfpWlcI9yaNyzVv64aKkn67iHVYfWVHx6ut39ylIqLjH57el/9+ZxD9PDFgyTFtivt3T4SGN/56VHqbQf3kf076v2fHxNtjtWiUT29+7Ojo49L1SWGHZvHFghJ0rbyyIQiVx/VQ7ed3lf3ff/QmBrJ4iKjP519iC4a1i0u/Fda1U3s6pcURWv7vLMhFxmjX53SR9ccvX9Ms4fiIqP97EA5wFUl/5MTemnJmJG67fSDNPU3J6q9qzAnl3LfaC1P9evUXP3s9iRPXh75I3931mpJkQ+D+/Pw0EWDArfTuH6JDitrqUlLNumhiwb5Npbu1S7ywR7SvZVOshsh1ysp0nF92mvBXacFbvvjXxyrjTv36MVJy/Tq1OW62/WLtbS4SIO6tdKgbpFhfcpGvyVJGti1ZUypYv/OLaK3Rx26n16fvjJwf25tm9ZPK+gFtY9s0aieDvVpq9m2aX2t27Y7ZlmqDc3T8cAFAzVzxea4OXeDGJKlWjYq1aade3N9GEDeuHx4mZ74bEn0fmNPs51JtxyvjTv26Df/mRX33IP2i621KS4y6tSiOiCcdFD76LXI0bV1Y23audneV/V36+vXDte5D3+hw+1Q3LllI0265YS4fToByhijw8pa6bCyyHXii5uO06wVW3XDS9Oj6ybrgNOsQan+fI5/+8JMvi7L2jSOuVZJ0uCy2GHqzh5UXSU+ok873XN2f81bs03Xjeil4iKTdmdL53ibNyzVkjEjo9dNSRrao5VenbpCbZrUiysd9WpYWqw9FVW668yDdfNrX2lb+V716dBM8+88NWY95wfAoG4tNWXpJrlz+Ks/Hh53DZSkI3q20ZRbT1DrJvXTem21iRLLNDjBpqrKimmBcUo//+pkx2VHRD6EQe0fh3RvpU9vPFYvXjNMVx3VI+Xjad6oVN3bNNboU/to4i0n6PgEHW2CdGjeQLedHulE07JRvWjbD+8Xwjd3VPdeXzJmpCbdckJWQ5ZfgXDTBvENtCPLq79YO6T5i21I91Y6qmfiAfh/52rX5NcGpq551i5JALLBqVXJhVtHHhi9fVj3Vgk7DPr1kHZ4S6KMMXE/jOuVFGnGbSepV/vYqvDSYqP92zbRhUO7qle7JjqqV/z30+OXDo7edldFH9Klheb+4VS1a5r4ezDoW6xj84YxPay/uOk4fT76uLj1/n7+AI3/9QiNuzHxcEVOR9cnLjtMs393cuB6/Ts31zNXDgl8/I5RB+mN65LXbJ0zuItuGdlXzX0686TCqcHza89/15kHa+wvjw28Drm9/MPDdePJvaPDDLWyC09Ki4t8S5ad4ffcbTubNywNzAz5HColgmVanJ5oA7q20B/O7KfubRrrZVcP7UcvGaz3fhY/BM/I/h21ZMzIhL/8urVunNWg1qC0SMN6+A9K7uy1yrJ0/pBI+5G2ni+mhvWK9afv9dftp8f25F58d3yJavtm9fU9T+PqMFw0LL45gBTbFqpZw/QK4UuLjSqqErdL6d6mukrCOVc92sT3zqwr0mkCAaSr337Bw7Zkm7skqnnDUn326/hQ5Uj0I9OvI4dfjUvzhvEhpbS4SMYY3XnmwfrghmPU2Cfctm5SX1cfFTnWZE2WfDlPCWjR5XSybNGwnhq4guuldhOqId1bqXPLRurqE67HnHWwRnnaWrZtWt/3dTiO7NnGN0A7Ljm8LKZ2LVtG9G6nG048QLedHilMeO9nR+uJyw6TJDUoLY65FiRyQPumunZET3Vt3Uj/uHBgYImuUyh1ul3d7+0AW6ioCk/DgR2b6cMbjlaPNk1UVGQ01jNWpd9YWvlizu9PDXzMaZexX4uGuuLI7rriSP9i/nMPi+8QZIzR+F+PiPmS/fLm6qqX//1qhG9D6GT8vrPPHtRZh5W11DH3fBKz3P3Fl6zXdnGRiRkuqrjIqHxv4mDpPhYnU7n3WdeEOfZaPjMm/V6tyFxtVgo8fPEg/eCZKdX7jjuY4OeamNuxK3pLLKVIjcv9FwzQ+Pnr9cKkZYHbTbV39i0j++qWkekN2eZ47qphennKssAf4vec01+/PKl3TIceKRIovdXTXucN6arzhnTV384boEfHLdKdb3+jLi1jA+gTlx+my5+YFL2fLxVBRUUm2rFGknp3aBrTBrMmTjs4eOSVg/ZrHj2fs3938j5zXaHoIU092zWt2S/EPHZKvw569JLBujqNani3zi0bRRsWe3Vp1Ug926X+h3mK3Us96ILu16jc3VA62ReU9+HS4qK4cUndTjiwXcxFwwnQ3mE8CkmqvVCD1Nagx7lWsg/8nQ/vmd8zkngdc0DbwCyXaADqVPjNEOMdi9f7/ZFwKB3X7SuPqv4xPurQ/eJG+nB8p/9+vp1o3Gpj9IuDOzfXHaP6BdaS1S8p9i2NTNdVR3XXgjtPjauadkpEJel7AzsHjjxSlzSuX5KVfgS5ULhXR4TGGKMT+7bPiw91v06JG1s7x9i8YWm0aYK7E5ExJuYCcopnOCVvb/ziosRV4Zblf3Fp4DOMR6EYnuH0YjUd767Q7AvtaQ9on9mPiNpmTHAHucwLj+O36/3KS6c5klPd/eCFA2OGgPnj9/rrwICxkCP7NHFH8+ENR+uP34t0vnRmJ9sXGGPixjt2O6B9E/3l3EN8mwSgcNWNOi0UrDZN6mv99uqecc73fnGRiZZquoOOUSQ4BfVu9zbKLiky0fHJ/JQUx1ZyuUss3/3ZUVqwdruue25a6i+owP39/AE5LbF/5OJBusZVdRmkY/MGWrWlPK1tH9C+ieat2R69vy8Ey0IY0P9PZ/fX3soq3fLarFo/58mCpLvmpGurRvp2407fx9walBZr1KGRcQUveXxi3OPOa3Q/vWe7purZrqm+f5j/GIn7iheuGaadeyLD9ky46fg606ymrqkbRQ/Ie//+0eF68MLqaTFPOLCd9mveINpAPcr+NnZfgAZ2axkdlN6YhM2i4hhjVOFTFe6UQBQXxW7Q2W2RMerToVlezAZUmw7PYGw/Px/94pjorBKpSNTA3y3dePLc1UP1/s+Pid1G/meypArhNTQoLY72YjYKfu8yb+8avwFnxpIg7lqcFo0iQ9A4wwMN6R7pDNmtdXyHDmNM8BzaBfCeZMuwHq11XJ9IX4QOzRsk7NCDwkWwRF4Y1K2VTnU1cm7dpJ4+v+l4XeqaekuqLmHo2LxBdJD6RvWK9ftRkcGHS4pM2r3rKyrjSyydGZKKjPFtY1nI14ZUj/2Qzs3161NiZ4Co6YDHQUqK0itTy1ZQcnp7uofV2jdKLOO9cM2w6Iwd+cBI0b9lY0zge5zOlHlSZAIJ9ygdfk9vWFqsZ68MHj6rSf0SjbHHBz7PLk10PhcXD+umz0Yfp777pTdWYh60OAKyimCJvOK0tXH+9/aSa9u0vv50dn89dln1OG7GGPXdr5kuO6JMfz9/YMzF1ClVSGRPZfUV59aRB2rCTcdHx68rKTIxDfGdi0JYmcM7V3tNOsY4U5alKtVjLyoy+tGxsY3qazJFW8JjkYk7oL8EDM3h5R7qKxO/OqV3dKYNdy/YffX6P6xH61oZuiUdzl+Y08byg5/HD9uWruuP65m0R6+RSVode96QrloyZmR0Kj/nO8CS4qbs9brzzH5x7byZZAH7OoIl8soFQ7vp92f0SzizwbmDu6hd0wYxFVvFRUa3f/eguJ6Mlw8v04UBc7s6jnOV3pQUGXVo3iBaPV5cVKSKSveeqmescBvRO7UqWq82noFuJ/vMkpHMyQelN8xV0KC7Xn4ldqEHS5/NeadDC1q/XZqBOkhQKey+eP3/8IZj4pZdFTC8WG1xD+vknHLvoOFS+lXh3tqOoH2nWzLt/O2nUoJ64dBueuji2JnZoj9O09orUDgIlsgrxUVGFw/rltKQG96LkeMg1/Rnxhh1aRU/bMarPz4iOnere9Bbp2OKMwRRSZHRzj3ucTitmH1m2u7Le1Fzd4w5JqiNlkeqlclXH9Vd/3f+gIQdBKbcWh1s/arswq4Kl+Lfv0TXeb9mCb7rpREWglbdF0qWij0/BJwfFe5SeO9ICbXNsiITOEiJS+zTnbs71fcv3Y+0MwqFVcM//kLoUAVkgmCJvDfhpuM18ebj45Y7F0fv9eOK4WUx990PO9eCVo3qqY/PkCBO1fvxfdqpRaNSXX5kmbbvjvRiHNG7bWCQNMZoyq0nRMNqqhK1t0q1LVbQenefdXDM/PEN65Xou/YMD9N+c6Lvc2Kqgj0n9uGLBwX2CHeGfkqXMfFjgia68Kaa9cLobboP5EqVFJmYHwt+qhKM41pbjjmgre4YdZB+853gAb9Hn9on8LFMpFti+ddzD9Wlh3fToV1a1mh/+8LnCkiEYIm816F5A7XzmQO8usQy9pvaGKMJNx2vV+w2eOl8kZ81oJMkqV2zBpr+25PUp0Mz7bCDZZdWjaLlPH4Xo9ZN6sdVbSeTaOieZBe86vae/uu1bFQvcK7joFKq2BLB2MdO9rQVc/v7+QMSHGkwY0zMlJxJ1495bvB65wzuojtGHRS8QgK/sMcRTHb+052XPleSzStcmePphSxFPgeXHF6WsJdwovEQU7G/TxMQv6rw3333IA3s2iJwO11aNdLvRvXLi3F/gXxEsETBcjf49+rQvIEGl0U67jhh6TyfKSm9/C5e3xvUWWccup9+dsIB1WE2qPrUc989hJLv+omqfZMEm7OSzseefmBw7zKdC2dNq42N0pse072fRPssNpH5hdPdplTdvi/ZKwqaXSWXuqU4W4r7B0QYBZYf/Pxo/fCY7M+e8pPje8X8iPnoF8fE7ff+CwboHz5/d0f6TAxgjIn7AXXpEWV69cfDwzlgH06QTbc3OVAoCJYoWLeffpBaN64XNy2bl5MbGtWrWfVok/oluu+8AWrVuF40TEQHOfZclL3X6GZJZpRIVO3rzbgvXDPMfxshF5zcOvJASbUz3I7fLhK3saxWnKXjc8YmTbf0OR+kGqbdwqgK79W+qVo1TvxZP9OuDfBKp63iDSceoNPt5hyStH/bJnHb/U7//RLOz+zl1Bok6+EdlnolRXrpB4frycuG1Mr+gNpGsETBGtm/o6b85sSEvYgl6YKhXXX2oM76yfHVA3HXNJM4nXri5hS2//depJP1HPWbv7h6m56OPd6OPim8hnRfpzHVVYa1Eix9grV3yVDPkFH//tEReu7qoaqf4H1PJyp593dUrza668yDdet3DkxjK/kh1XfMXdpak6pwv57kyTYT9HEqybBDWKolx367N67lYVRtpzo14ZDureLmzwb2FQRL7PMa1SvRn885RC2SlGymwpn+sX7AXOHeWXy8hUHnDIqtvh7avbXuOvNg+fFeb73XPWfsxaCStbgLfQoBwsiom92LPp0hlGrcQ9Z+Tccm2NfgsupOEsZIg7q11BH7t0lYhZ7O4cT9SDBGFwztqoZpVNEXsirL0kMXDdL+bRurd5K5xQd0baH3f360b0ea45IMuh70QyXd4bK8qoJnZE3KmOofISUZBstZvztZE26K72QI1DUESyAN5XawdIZH8eaXSleSHNStZVyJpd+1dUQf/1DlTHNX/dzYJ191VHc9eOHAaE/vTi0aasmYkdHH43Kl715iGSP1aNtEU39zYkrjAKazbd/92f8/eXmkWrC0OHjmlcjxVT+YqMSyNjhv7YCuLeIGwU7XoG4162GcTCpD21RVWTqlXwd99ItjdddZ8T9y+nasbgv4zJVDdUD7pr5tkXu1bxrz+Ys/llgPXTRIf/zewRl3yklWYvnm9UfqycsPCzgmE/2bzbTEskn9kphRFYC6imCJOuXaEZGG/t7Zat68/siEU7s5du+NjGkZVFrmbPfXp/TRs1cOjSvJ86/69b+g/eCYHvrLOYfoYHtcTu+Fr6SoKGYazDA4e2jVuF7tjOPo2sXDFw/SB575uqXgki5vj3r3wO+ZVIUHbcMdsKRw27Y+dUXttrdzf+b2ViY+W1e4qr2DRhlIhfM+tm9WX+/89Cid0q9DwjFVU5WsdLpfp+Y6trd/aaoxik6AQC9vIBwES9Qp3z8sMj2btyNPv07NdWSv+F6jXuXRYGmXWFqxbS4blBZryZiR+tGx+6thveK4ajpvGLFkRZd5HystLtL3XFXn3ute0PMy4Rcm66UxWH263KHx5IM6qKxNY3mjXqov77UfH+E6nuz12L7k8G6hbzMosNWkjWwq3KV8O/dURG/3ah8J5wMSDLdTU07TjjMGdNKBHZP3iP7lSQektN3WCdopu7nPzVG92qh+SZFaNqoXrVUgWALhIFgCabhwaDcdc0Bbnykn/S9K8VXhCQb/9tx3QpezjXQ709QkW/ntYfyvR6Qw8Hvwzn5wdI/Ax1Jq15bgdT96SWTO+NJio6YNatYZItWSWWc1JwS6z29tD3qdaXtAt23l1cGyWYNSLRkzUse5SviC9nTawf7V/09cfpgev2xw3HJnNq1Ue/Nfd1yvwMf+ecng6Di1HZs31NhfHpt0e+6ONd8/rIvm/uFU1Sspis7MdU2CzymA1GU+PQVQh7RsXC+taktv2IkrsbSqL9zegBPtaR4wdmb8tmLDnSUr7enj/AZsb9fMf4D62H3H3m/RqFSbd+6VlLj61K+UKKjHvZ/hPVv77j8dqYZCZz1vh6xsZkqj9Kr1K6u8P2SSP6dH28Zxy1LZ5z8uHKTLn5iosXPXxSwfEVDtfMnh3WQk/ejYzMe7PKFvbIefrj7TtnpdMLSbdldUqbLK0mn9qpuQNG9YmrBtKID0ECyBLDp8/9Z64IKBuv75qaqyAqY+NDH/RVWPlelfYumExkQlbu5qwmThq32zmo/b6N10h2YNosEykVSGmnFent/g395S3TCFvclDurTQjGWb03qOMSatA/GOSpDMsb3b6mcnpFbl7OfRSwanPFxRg9Ji/W5UvxrvK5FUCnCLi4yuOopSSSDbqAoHMpDKJXVk/47RsTbPS9BZIa6kzv7rDKoKj2+vae/P7tBjWdKwHq11mD1cT23OFJNq9bJfrjyyZ5uYAF5kz8P+zk/jq+Od3dRgZKXqbaS+asw+03XGofslX8m7r4Dl918wQJLixnCtqIxt1Jtsusz+nZpHq6gDjyHB6y0pLgoceit+O9kr262VjmYAUkKwBEKQ6nXNr2QlWvIYMCD6fvaMIN5xFY3nf8eNJ/fW0O6tNMIeV/CYA1Ifj7Km4mYgSjHZ+ZVYNq5fopft9nNS5PW1blLfd+Yk7wxIh3SO9KDv3ia+ejdQLbRdlSKzxCTz/cFdAseDdA9p1L9zC0nxbS3dPbyH92wdOCd8OrzVzjVF9APqBqrCgVpQPcd4gjaFAW0L//b9Afps4Xp19VQFB5XSlLVprBd/cLjvY4lkMpRMTXthB1VhukN2otznLcX9z7XDNXvlVvWzh2hK5Pg+7fTRnLWBj3ubBjjHVNOS36MPaKuRB3fUW1+t8n188d2nSZKueHJS3GP1SorU3actpPfUVLiGIUipfW2SUH39cT3VrIadotLcFYB9BCWWQC1KdR5sqTo0NW9U6jv3cabX6U9cPWlvHXlgRmMpOlGrqU84TRTDgsKxe3Gias74IZhMSqFSUrRDUtDWu7VurHE3jkhpW8lC0z8uHChJ+uv3D9Htp/f17dVtjJExJuZ8xZyHFI6jwlVimUmQy8ZoTel2JANQmCixBGqBc532lrBZcvcKj31OsmDg18M84TF4Hi9r01iv/fgIfbFoQ3idGkLKDqluxgmdyeaLT7yN4Me8pcSS4pJyonDsnHPnh0H9kmJdNry7Nu/aq/s+nJ/82Hz6hV+WYEakoMHO/3Pt8OgYrKlwSmXDjIK1UWJ5xP6ts78TAAkRLIEMpFuy43dtdYKJt0TH70Jc1rqRlmzYGfu8pAE0eIUBXVtqQNeWiTeQgmhVf8ZbsrfjOuZkr++W0w7U0Sm0I43vYJ3am3fWwE76ZO66wM5SQRJ9Nn56fC9dc3QP9f3te3GPtWjoX/Xs7L+1q92k971tXN+/I82hXVrE3Hc67JQm604dYhrMdq78369GqE2Tmo9sACAcVIUDGXCG80m1s4gxUmPXfMLutonea7jfgOjv/PTowG3XZq9vx7s/O0of/Pzo6hKukIKIezPJBoa/+uge6t2hadJtPnZp/KDdUvIq2r+ee6im/ubEpNuXUh+yyRjj2xlJku44o191b+6YqvDk5/baET2jY3smei+uGN5dVx/VfZ8afqdLq0bM1Q3kAYIlkIHDylrpycsP0y9P6p3S+kXGaOItJ8QMSh10+fcLVH4XzlTbroUZO//4vYM1sn9H9enQTL3aN1VZ68jrOf2Q6qGOMuGu2g6rpKu9Z5D3X57UW+cM6qyzBnZK6fnn2NNrdvIbi9QWRtvEZg1Ko9Xd0dfu2m5MG0zPcxuUFuuqI3v4PubWsF6xbhnZNzCI9bd71/dPsb1qSmhiCdQJBEsgQ8f2bpdWG7/G9UuinVwiHTYiy73X3aDrcJ+A0rmgUNOsQYn9fzi9e6XInOsPXDAwen+/Fg015/en6MKh1fNof3jD0Zpw0/E12n6zBqXR+arDqo31BvDWTerrnnMOUYPS1Eq5LhrWTYvvPk2tG0dKJcOu/veT9LUn6gyWwYEd16e9vrjpuJihhjIZQF+i8w5QV9DGEqgNAaEvtio8eRtLSXrhmmFavH5H0vUc5w/pKsv+P5u8Aa1nu9gAbIx0++kH6bY3ZssY6f7zByqRgV1batq3m0MLJJkG1FSq+cMqFc6oR3dIHW86Nq8umf30xmPVomFmY2Jm8poW3XVaRvsGUHsIlkAtci6uA7q21IzlW9SqcT3XAOnedf2vxC0a1dOArvEX+aBQU1JcpEsOL6vZAYfouhE9NdieBah3+6Ya2T9+CCW36rE/w9l/2L2Sw9jeWNeQT7778BnP010y7XcIicZMralurdMYcD5AJkfjN4c9gPxEVThQC5x2fMX2xf6WkQfq7Z8cFXvBtq+dZ9tt+QpR0h7qacSLsDsjuff9y5NqPj92Iuek+d51b9M49Y5fSR53OidlYwzKTDid1WoSdC8Ymt1SdgDhI1gCteDOMw/WzNtPUokzzEtxkfru10xSfNXlH7/XX9/ccUouDjOr0g08zvrJeoWnvD37PNcrKdJ1x/XKfHsxJYeRY+y7XzMtGTMyunzsL4/VwxcPqvE+/F66X+AuLjI6/sD29uPOMeUHZ0rS4hq8j3edeXDM+QSQ/6gKB2pBcZFJ2nnGKdEpLjJpDZvSqnE9tWtaX7d/96CMjjFMQaWN6WQLp/1p6FXYGT7fGWKqrHUjrd++O3C9pg1K0iqR9BNzrJ550SOL4l9Nts5bTT195RBNWLRBzRuF13kMQP4iWAI5lmlbwtLiIk285YTwDigDiaq63a8vldLLsEvenGPr5jebThqG9WitJy4/TPWLi3TBP7/0Xefe7x+igRkMPO/3WXAvckYh6Nqqkb5asSVmPcv3GbnTvmkDnTmgcJt3AEgPVeFAjlVZ4fTizVdnDuik5g1LdfagzmmWWEb+z6QTyt/OOzR6u35JkR6+eJCevWpojbfnGNG7XbSKd3BZq+hy55jPHNA5nA4vfiWSkto0qa+HLhqUsJo9X0os8+U4ANQOgiWQJ8LsxZtr7hLJLq0aacZtJ8UErVQ65lTP5lPz4xh1aCd1bVVdQnnyQR3UrmmDBM9IXVmbxvroF8dkpSNQ9TSf7mWx65zSr4NaNqoXt15tjK+Zjn3pcw0gOarCgRzLt84WmQizV7jT2SOszjvZsH/bJjH3a/tQfTv35FkbSwB1C8ESyLGG9sDix/Zul+MjqT2ptLG84aTespT58EthlHymvK+QhvoxnhsxJbwp7iTXM938/ox++tuH83J6DABqH8ESyLHG9Us0/tcjQquizWcNSiOtb7zzdvtp3rBUd4zql+1DymsxVeE5mBM+ExcP66aLh3VLviKAfQrBEsgDnVtm1lM53wSFm26tG+ve7x+iYw+oO6WzYUsWHMOesQgA0kGwBBCaVLJMbQ89U92ZpXCSlhMK3R1f/KZ09FObVf8A4EWvcADIU+5w6JcT/TvvOOuTLAHUPoIlgNBZ+TZhdZYN7BYZDN09tFG2+A3V5Fs6Sa4EkANUhQMITTu7U855h3XN8ZHEy2bV8BXDyzSid1v18Aw/lKlE41hGHvcfQN37XACoLQRLAKFp3rBUi+8+LdeHUeuMMaGHyiBJ21hGx7EkWgKofQRLAKHKt0BTiLXyzjE7g8NbVv6dVwDwQxtLAChQfu0t821KRwB1C8ESAPKUb69vv/VcMfLEvu11VK82uvHk3tk7MAAIQFU4ABSQZFX7jeuX6Jkrh9bOwQCAByWWAJBn/AZD9yu9LLYXjujTthaOCgCSo8QSAPJMomkZ3e0qS4qLNP7XI9SmSf1aOjIASIwSSwD7tP3bRYYBalBanOMjqYlIsmzTpH7gTDqdWzYq0NcGYF9EiSWAfdr9FwzQtG83q23TwivVKyky+vM5h2hYj1b674xVkYUFOHwSgLqDYAlgn9asQamOOaBw2yCePaizJFe7yxweCwAkQ1U4AAAAQkGwBAAAQCgIlgBQAJyuO1YhzlEJoM4gWAJAnnIPN8RU4QAKAcESAPKUX+EkBZYA8hnBEgAKQNA4lgCQTwiWAFBAKLAEkM8IlgBQAPzmDweAfJNRsDTGnGOMmW2MqTLGDPY8dpMxZoExZq4x5mTX8lPsZQuMMaMz2T8A7MvosAOg0GRaYjlL0lmSxrkXGmP6SjpP0kGSTpH0D2NMsTGmWNIDkk6V1FfS+fa6AIAEhvdsI0k66aD2OT4SAAiW0ZSOlmV9I0km/mf1KEkvWJa1W9JiY8wCSUPsxxZYlrXIft4L9rpfZ3IcALCvO7BjMy0ZMzLXhwEACWWrjWUnSctc95fby4KWxzHGXGOMmWyMmbxu3bosHSYAAADCkrTE0hjzoaQOPg/dYlnW6+EfUoRlWY9IekSSBg8eTHN1AACAPJc0WFqWdUINtrtCUhfX/c72MiVYDgBwoQc4gEKTrarwNySdZ4ypb4zpLqmXpImSJknqZYzpboypp0gHnzeydAwAAACoRRl13jHGnCnp75LaSnrLGDPdsqyTLcuabYx5SZFOORWSrrUsq9J+znWS3pNULOlxy7JmZ/QKAGAfxXBDAApNpr3CX5P0WsBjd0q602f525LezmS/AAAAyD/MvAMAAIBQECwBIM80rhepTBravVWOjwQA0pNRVTgAIHzNG5XqwxuOVueWjXJ9KACQFoIlAOShnu2a5voQACBtVIUDAAAgFARLAAAAhIJgCQAAgFAQLAEAABAKgiUAAABCQbAEAABAKAiWAAAACAXBEgAAAKEgWAIAACAUBEsAAACEgmAJAACAUBAsAQAAEAqCJQAAAEJBsAQAAEAoCJYAAAAIBcESAAAAoSBYAgAAIBQESwAAAISCYAkAAIBQECwBAAAQCmNZVq6PISljzDpJS2txl20kra/F/YFznguc89rHOa99nPPaxzmvfbV9zrtZltXW74GCCJa1zRgz2bKswbk+jrqEc177OOe1j3Ne+zjntY9zXvvy6ZxTFQ4AAIBQECwBAAAQCoKlv0dyfQB1EOe89nHOax/nvPZxzmsf57z25c05p40lAAAAQkGJJQAAAEJBsPQwxpxijJlrjFlgjBmd6+PZlxhjlhhjvjLGTDfGTLaXtTLGfGCMmW//39Jebowx/2e/DzONMQNze/SFwRjzuDFmrTFmlmtZ2ufYGHOpvf58Y8yluXgthSLgnN9ujFlhf9anG2NOcz12k33O5xpjTnYt57snRcaYLsaYscaYr40xs40xP7WX81nPggTnm895FhljGhhjJhpjZtjn/Xf28u7GmC/tc/iiMaaevby+fX+B/XiZa1u+70dWWJbFP/ufpGJJCyX1kFRP0gxJfXN9XPvKP0lLJLXxLPuTpNH27dGS/mjfPk3SO5KMpGGSvsz18RfCP0lHSxooaVZNz7GkVpIW2f+3tG+3zPVry9d/Aef8dkm/9Fm3r/29Ul9Sd/v7ppjvnrTPeUdJA+3bTSXNs88tn/XaPd98zrN73o2kJvbtUklf2p/flySdZy9/SNKP7Ns/lvSQffs8SS8mej+yddyUWMYaImmBZVmLLMvaI+kFSaNyfEz7ulGSnrJvPyXpDNfyp62ICZJaGGM65uD4CoplWeMkbfQsTvccnyzpA8uyNlqWtUnSB5JOyfrBF6iAcx5klKQXLMvabVnWYkkLFPne4bsnDZZlrbIsa6p9e5ukbyR1Ep/1rEhwvoPwOQ+B/Xndbt8ttf9Zko6T9Iq93Ps5dz7/r0g63hhjFPx+ZAXBMlYnSctc95cr8R8P0mNJet8YM8UYc429rL1lWavs26sltbdv816EJ91zzLkPx3V2tevjTpWsOOehs6v7BihSmsNnPcs851vic55VxphiY8x0SWsV+eGzUNJmy7Iq7FXc5zB6fu3Ht0hqrVo+7wRL1KYjLcsaKOlUSdcaY452P2hFyuwZpiCLOMe15kFJ+0s6VNIqSX/J6dHso4wxTST9W9LPLMva6n6Mz3r4fM43n/Mssyyr0rKsQyV1VqSUsU9ujyg5gmWsFZK6uO53tpchBJZlrbD/XyvpNUX+SNY4Vdz2/2vt1XkvwpPuOebcZ8iyrDX2BaFK0qOqrnbinIfEGFOqSMj5l2VZr9qL+axnid/55nNeeyzL2ixprKTDFWnKUWI/5D6H0fNrP95c0gbV8nknWMaaJKmX3eOqniKNX9/I8THtE4wxjY0xTZ3bkk6SNEuR8+v0xLxU0uv27TckXWL35hwmaYurigvpSfccvyfpJGNMS7tq6yR7GVLkaQ98piKfdSlyzs+ze292l9RL0kTx3ZMWu93YY5K+sSzrr66H+KxnQdD55nOeXcaYtsaYFvbthpJOVKR961hJZ9ureT/nzuf/bEkf2yX3Qe9HdmSzR1Mh/lOk9+A8Rdox3JLr49lX/inSC3CG/W+2c24Vaf/xkaT5kj6U1MpebiQ9YL8PX0kanOvXUAj/JD2vSJXUXkXa0VxZk3Ms6QpFGngvkHR5rl9XPv8LOOfP2Od0piJf6h1d699in/O5kk51Lee7J/VzfqQi1dwzJU23/53GZ73Wzzef8+ye9/6Sptnnd5ak39rLeygSDBdIellSfXt5A/v+AvvxHsnej2z8Y+YdAAAAhIKqcAAAAISCYAkAAIBQECwBAAAQCoIlAAAAQkGwBAAAQCgIlgAAAAgFwRIAAAChIFgCAAAgFP8PyyJ7qJI4cQ8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 792x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "k = []\n",
    "for signal in s:\n",
    "    plt.figure(figsize=(11, 9))\n",
    "    res = np.correlate(r, signal)\n",
    "    maxind =  0 \n",
    "    maxx = -1000\n",
    "    for i in range(0,len(res)):\n",
    "        if res[i] > maxx:\n",
    "            maxx = res[i]\n",
    "            maxind = i\n",
    "    k.append(maxind)\n",
    "    plt.plot(res)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "154a30a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[903, 1203, 1775, 1588]\n"
     ]
    }
   ],
   "source": [
    "print(k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "640ca83c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[8.00353434 4.60490262 5.76045975]\n"
     ]
    }
   ],
   "source": [
    "# расстояния до объектов\n",
    "ss = [ (1/samp_rate * x) * c_speed for x in k ]\n",
    "\n",
    "def F(point):\n",
    "    x,y,z = point\n",
    "    ans = 0 \n",
    "    for i in range(4):\n",
    "        ans += (ss[i] - math.sqrt( (coord[i][0] - x)**2 + (coord[i][1] - y)**2 + (coord[i][2] - z)**2 ))**2\n",
    "    return ans \n",
    "# применяем встроенный метод наименьших квадратов для решения системы уравнений\n",
    "res = optimize.least_squares(F,x0=[0,0,0])\n",
    "print(res.x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9393b24b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
